document.write( "Question 167717: what equation would shift the following parabola to the right 5 units f(x)=-7x^2+5? \n" ); document.write( "
Algebra.Com's Answer #123627 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
If you replace x with \"x-5\", then the entire parabola will shift 5 units. \r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=-7x%5E2%2B5\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x-5%29=-7%28x-5%29%5E2%2B5\" Replace x with \"x-5\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x-5%29=-7%28x%5E2-10x%2B25%29%2B5\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x-5%29=-7x%5E2%2B70x-175%2B5\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x-5%29=-7x%5E2%2B70x-170\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So the new equation (call it g(x)) that is shifted over 5 units to the right is \r
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\n" ); document.write( "\n" ); document.write( "\"g%28x%29=-7x%5E2%2B70x-170\"
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